Final answer:
The equation of the line that passes through the points (-4, 9) and (-1, 9) is y = 9, which is a horizontal line with a slope of 0.
Step-by-step explanation:
To write the equation of the line that passes through the points (-4, 9) and (-1, 9), we first need to determine the slope of the line.
The slope (m) is the ratio of the change in y-values to the change in x-values between two points on the line. In this case, since the y-values are both 9, the change in y is 0, which means the line is horizontal and the slope is 0.
Thus, the equation of the line is simply y = 9, as it does not depend on x.
This equation represents a horizontal line that crosses the y-axis at 9.